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A note on one-prover, instance-hiding zero-knowledge proof systems

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Advances in Cryptology — ASIACRYPT '91 (ASIACRYPT 1991)

Part of the book series: Lecture Notes in Computer Science ((LNCS,volume 739))

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Abstract

In this note we study two cryptographic notions introduced in recent years: zero-knowledge proof systems [GMR] and instance-hiding schemes [AFK]. Addressing an open problem of [BFS] and extending the work in [AFK], we show that, if one-way permutations exist, the following two statements are equivalent for any function f:

  1. (i)

    f has a one-prover, instance-hiding, zero-knowledge proof system.

  2. (ii)

    f is computable in polynomial space and has an instance-hiding scheme that leaks at most the length of the input.

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Author information

Authors and Affiliations

  1. AT&T Bell Labs, Rm 2C473, 600 Mountain Avenue, 07974-0636, Murray Hill, NJ

    Joan Feigenbaum

  2. MIT Lab for Computer Science, 545 Technology Square, 02139, Cambridge, MA

    Rafail Ostrovsky

Authors
  1. Joan Feigenbaum
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  2. Rafail Ostrovsky
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Editor information

Hideki Imai Ronald L. Rivest Tsutomu Matsumoto

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© 1993 Springer-Verlag Berlin Heidelberg

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Feigenbaum, J., Ostrovsky, R. (1993). A note on one-prover, instance-hiding zero-knowledge proof systems. In: Imai, H., Rivest, R.L., Matsumoto, T. (eds) Advances in Cryptology — ASIACRYPT '91. ASIACRYPT 1991. Lecture Notes in Computer Science, vol 739. Springer, Berlin, Heidelberg. https://doi.org/10.1007/3-540-57332-1_30

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  • DOI: https://doi.org/10.1007/3-540-57332-1_30

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-57332-6

  • Online ISBN: 978-3-540-48066-2

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